Surface Area of Prisms & Pyramids

Front

What is the formula for the lateral surface area of a rectangular pyramid?

Back

The lateral surface area (LSA) of a rectangular pyramid can be calculated using the formula: LSA = (Perimeter of the base × Slant height) / 2.

Tags

CCSS.7.G.B.6

Front

How do you calculate the total surface area of a prism?

Back

The total surface area (TSA) of a prism is calculated by adding the lateral surface area to the area of the two bases: TSA = LSA + 2 × Area of the base.

Tags

CCSS.7.G.B.6

Front

What is the formula for the lateral surface area of a triangular pyramid?

Back

The lateral surface area (LSA) of a triangular pyramid can be calculated using the formula: LSA = (Base perimeter × Slant height) / 2.

Tags

CCSS.7.G.B.6

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area refers to the area of the sides of a solid, excluding the bases, while total surface area includes the area of the bases as well.

Tags

CCSS.7.G.B.6

Front

How do you find the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = (Base × Height) / 2.

Tags

CCSS.6.G.A.1

Front

What is the formula for the surface area of a rectangular prism?

Back

The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2(lw + lh + wh), where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the surface area of a triangular prism?

Back

The surface area (SA) of a triangular prism is calculated using the formula: SA = (Base area × 2) + (Perimeter of the base × Height of the prism).

Tags

CCSS.7.G.B.6

Front

How do you calculate the slant height of a pyramid?

Back

The slant height of a pyramid can be calculated using the Pythagorean theorem: Slant height = √(Height² + (Base length/2)²).

Tags

CCSS.7.G.B.6

Front

What is the significance of congruent triangles in calculating surface area?

Back

Congruent triangles ensure that the dimensions used in calculations are consistent, allowing for accurate area calculations in pyramids and prisms.

Front

What is the total surface area of a pyramid with a square base?

Back

The total surface area (TSA) of a pyramid with a square base is calculated as: TSA = Base area + Lateral surface area.

Tags

CCSS.7.G.B.6